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Finding the Fourth Proportional to 335.78, 463.47 and 204.90

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Solution

The fourth proportional to 335.78, 463.47 and 204.90 is: 282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.78 : 463.47 = 204.90 : x
  2. Step 2: Convert to fraction form
    335.78/463.47 = 204.90/x
  3. Step 3: Cross multiply
    335.78x = 463.47 × 204.90
  4. Step 4: Simplify right side
    335.78x = 94,963.98
  5. Step 5: Solve for x
    x = 94,963.98/335.78
  6. Step 6: Final answer
    x = 282.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.